On central configurations of the kn-body problem

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Title:	On central configurations of the kn-body problem
Author:	Barrabés Vera, Esther; Cors Iglesias, Josep Maria
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any value of the mass ratio. Moreover, for n = 3,4 and any value of the mass ratio, we give the exact number of twisted (2, n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2, n)-crowns for n = 5.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Celestial mechanics -Many-body problem -Celestial mechanics -N-body problem -Planar central configurations -Twisted central configurations -Mecànica celest -Problema dels cossos múltiples -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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